Fixed point characterization of completeness on lattices for relatively isotone mappings
Archivum mathematicum, Tome 20 (1984) no. 3, pp. 125-132
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06A06, 06B23
@article{ARM_1984_20_3_a2,
     author = {Klime\v{s}, Ji\v{r}{\'\i}},
     title = {Fixed point characterization of completeness on lattices for relatively isotone mappings},
     journal = {Archivum mathematicum},
     pages = {125--132},
     year = {1984},
     volume = {20},
     number = {3},
     mrnumber = {784863},
     zbl = {0574.06004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1984_20_3_a2/}
}
TY  - JOUR
AU  - Klimeš, Jiří
TI  - Fixed point characterization of completeness on lattices for relatively isotone mappings
JO  - Archivum mathematicum
PY  - 1984
SP  - 125
EP  - 132
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_1984_20_3_a2/
LA  - en
ID  - ARM_1984_20_3_a2
ER  - 
%0 Journal Article
%A Klimeš, Jiří
%T Fixed point characterization of completeness on lattices for relatively isotone mappings
%J Archivum mathematicum
%D 1984
%P 125-132
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_1984_20_3_a2/
%G en
%F ARM_1984_20_3_a2
Klimeš, Jiří. Fixed point characterization of completeness on lattices for relatively isotone mappings. Archivum mathematicum, Tome 20 (1984) no. 3, pp. 125-132. http://geodesic.mathdoc.fr/item/ARM_1984_20_3_a2/

[1] Abian S., Brown A. B.: A theorem on partially ordered sets, with applications to fixed point theorems. Canad. J. Math. 13 (1961), 78-82. | MR | Zbl

[2] Birkhoff G.: Lattice theory. AMS Coll. Publ. 1967. | MR | Zbl

[3] Crawley P., Dilworth R. P.: Algebraic Theory of Lattices. Prentice - Hall, NJ, 1973. | Zbl

[4] Davis A. C.: A characterization of complete lattices. Pacific J. Math. 5 (1955), 311-319. | MR | Zbl

[5] Kolibiar M.: Über Fixpunktsätze in geordneten Mengen. Spisy Přírod. Fak. Univ. Brno 457 (1964), 469-472.

[6] Markowski G.: Chain complete posets and directed sets with applications. Algebra Universalis 6 (1976), 53-68. | MR

[7] Tarski A.: A lattice theoretical fixpoint theorem and its applications. Pacific J. Math. 5 (1955), 285-309. | MR | Zbl

[8] Wong J. S.: Common fixed points of commuting monotone mappings. Canad. J. Math. 19 (1967), 617-620. | MR | Zbl